Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements.
Statements:
I. All K are H.
II. No S is K.
Conclusion:
I. No K is S.
II. All H are K.
Option 1: Only conclusion II follows
Option 2: Only conclusion I follows
Option 3: Neither conclusion follows
Option 4: Both conclusions I and II follow
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Correct Answer: Only conclusion I follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
No K is S – According to the given statements and Venn diagram no S is K, therefore no K is S is the correct conclusion.
Conclusion (II):
All H are K – According to the given statements and Venn diagram all K are H, therefore some H are K is correct but all H are K is not correct.
So, the only conclusion I follows is correct. Hence, the second option is correct.
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